Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 348/960,733/122
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 348,733
Greatest Common Factor of Numerators i.e. GCF of 348,733 is 1 .
LCM of Denominators means LCM of 960,122 as per the given fractions.
LCM of 960,122 is 58560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 348,733
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Greatest Common Factor
We found the factors 348,733 . The biggest common factor number is the GCF number.
So the greatest common factor 348,733 is 1.
Lets's calculate LCM of 960,122
2 | 960, 122 |
480, 61 |
∴ So the LCM of the given numbers is 2 x 480 x 61 = 58560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58560
Therefore, the GCF of Fractions 348/960,733/122 is 1/58560
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 960,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(960,122) x common factors =2 x 1 = 2
LCM(960,122) = ( 960 × 122 ) / 2
LCM(960,122) = 117120 / 2
LCM(960,122) = 58560
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 348/960, 733/122?
Answer: GCF of Numerators as per given numbers 348/960, 733/122 is
GCF of Numerators i.e. for 348,733 is 1
LCM of denominators i.e. for 960,122 is 58560.
Thus, GCF of Fractions is 1/58560.Finally, GCF of Fractions for 348/960, 733/122 is 1/58560.